Geodesic
Solution of $n$-phase $\mathbb R$-linear conjugation problem
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2011), pp. 81-88 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We consider the problem of the distribution of power fields of various physical nature in a piecewise homogeneous planar medium consisting of several homogeneous components separated by branches of confocal hyperbolas. We reduce this problem to the linear conjugation problem and solve the latter analytically.
Keywords: heterogeneous media, $\mathbb R$-linear conjugation problem, analytic functions. 
@article{IVM_2011_4_a7,
     author = {T. V. Nikonenkova},
     title = {Solution of $n$-phase $\mathbb R$-linear conjugation problem},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {81--88},
     year = {2011},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2011_4_a7/}
}
TY  - JOUR
AU  - T. V. Nikonenkova
TI  - Solution of $n$-phase $\mathbb R$-linear conjugation problem
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2011
SP  - 81
EP  - 88
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/IVM_2011_4_a7/
LA  - ru
ID  - IVM_2011_4_a7
ER  - 
%0 Journal Article
%A T. V. Nikonenkova
%T Solution of $n$-phase $\mathbb R$-linear conjugation problem
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2011
%P 81-88
%N 4
%U http://geodesic.mathdoc.fr/item/IVM_2011_4_a7/
%G ru
%F IVM_2011_4_a7
T. V. Nikonenkova. Solution of $n$-phase $\mathbb R$-linear conjugation problem. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2011), pp. 81-88. http://geodesic.mathdoc.fr/item/IVM_2011_4_a7/

[1] Emets Yu. P., Kraevye zadachi elektrodinamiki anizotropno provodyaschikh sred, Nauk. dumka, Kiev, 1987

[2] Obnosov Yu. V., “Reshenie zadachi $R$-lineinogo sopryazheniya v sluchae giperbolicheskoi linii razdeleniya raznorodnykh faz”, Izv. vuzov. Matematika, 2004, no. 7, 53–62 | MR | Zbl

[3] Obnosov Yu. V., Nikonenkova T. V., “Solution of an $\mathbb R$-linear conjugation problem on the case of hyperbolic interface”, Lithuanian Math. J., 48:3 (2008), 322–331 | DOI | MR | Zbl

[4] Nikonenkova T. V., “Reshenie odnoi trekhfaznoi zadachi $\mathbb R$-lineinogo sopryazheniya”, Uchen. zap. Kazansk. un-ta. Ser. fiz.-mat. nauk, 150, no. 4, 2008, 127–136 | Zbl

[5] Obnosov Yu. V., Kraevye zadachi teorii geterogennykh sred: mnogofaznye sredy, razdelennye krivymi vtorogo poryadka, Izd-vo Kazansk. un-ta, Kazan, 2009